Question

PLEASE HELP!! i keep figuring this out but im kind of confused
1. Calculate the number that you need to add to each side of the equation w^2 - 3w = 350 to create a perfect square trinomial.

2. Factor the trinomial.

3. Now that you've factored the equation, find the square root of each side and solve for w.

Answer 1

this is what i got for the first question

Answer 2

What I think the whole problem is basically saying:
1. complete the square
2. factor it out...
3. (so you can) solve for w

Answer 3

this one i got for the last question @kittiwitti1

Answer 4

...what
Can you show me the entire process? lol

Answer 5

ok hold on

Answer 6

You were good until step 5

You brought back the w^2 out of nowhere...but yes, we'll see your whole process!

Answer 7

sorry, I was afk but I sent you a PM regarding the steps to take after finding the\[(\frac{b}{2})^{2}\]

Answer 8

Also, Step two is missing the +(-3/2)^2 on the right side of the equation.
Or you could eliminate it entirely since Step three does that.
http://prntscr.com/a75r56

Answer 9

Remember that\[
\sqrt{\left(w-\frac 32\right)^2} = \left|w-\frac 32\right|
\]

Answer 10

Oh, right. The answer will be both positive and negative\[\pm(\text{answer})\]

Answer 11

Thanks @wio

Answer 12

So you have to use a \(\pm\) on the other side to get rid of it.

Answer 13

this one is the second process

Answer 14

ok so I did this:\[w^{2}-3w+(-\frac{3}{2})^{2}=350+(-\frac{3}{2})^{2}\rightarrow (x-\frac{3}{2})^{2}=350+\frac{9}{4}\]\[(x-\frac{3}{2})^{2}=\frac{1400}{4}+\frac{9}{4}\rightarrow x-\frac{3}{2}=\pm\sqrt{\frac{1409}{4}}\]\[x=\frac{3}{2}+\frac{\sqrt{1409}}{2}\rightarrow \frac{3\pm\sqrt{1409}}{2}\]

Answer 15

Is this roughly along the lines of how you solved it?

Answer 16

http://prntscr.com/a75vax

Answer 17

how did you get 1400?? did you mutiply it by 9??

Answer 18

\[\large 350 + \frac{9}{4}\]

Find the common denominator

\[\large \frac{1400}{4} + \frac{9}{4}\]

Answer 19

^ what he said, yes

Answer 20

\[350\times\frac{4}{4}=\frac{1400}{4}\]

Answer 21

Everything good so far?

Answer 22

yes

Answer 23

Okay. Can you do it from here or should I keep going?

Answer 24

yea i think i can dot it

Answer 25

does this makes sense the width is \[\frac{ 3\pm \sqrt{1409} }{ 2 }\] ??

Answer 26

I believe you have to do both plus and minus and get two answers. Or only one of them work.
What was the original context of the question?

Answer 27

it asks: what are the maximum dimensions of the stage that malcolm can build?
w=_________
l=__________

Answer 28

Hmm... I think you have to input two separate equations into your calculator:\[\frac{3+\sqrt{1409}}{2}\text{ and }\frac{3-\sqrt{1409}}{2}\]If you get a negative answer then that would be the one that doesn't work, since measurements like this need to be positive.

Answer 29

ok

Answer 30

Good luck ♣